Find the LCM of 301, 529, 473, 948, 355 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 301, 529, 473, 948, 355. So, keep reading to learn more.
Given numbers are 301,529,473,948,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,529,473,948,355 is 589456204260.
Find LCM of 301,529,473,948,355 with Prime Factorization
43 | 301, 529, 473, 948, 355 |
7, 529, 11, 948, 355 |
Multiply the prime numbers at the bottom and the left side.
43 x 7 x 529 x 11 x 948 x 355 = 589456204260
Therefore, the lowest common multiple of 301,529,473,948,355 is 589456204260.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
301 x 529 x 473 x 948 x 355 = 25346616783180
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
301 : 1, 7, 43, 301
529 : 1, 23, 529
473 : 1, 11, 43, 473
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,529,473,948,355, is 1.
Now, the common factors can be found like this.
301:7x 43
529:23x 23
473:11x 43
948:2x 2x 3x 79
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43 = 43
Therefore, the value for common factors is 43.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 25346616783180/(1x43)
LCM = 25346616783180/43
LCM = 589456204260
Thus, we can understand that the LCM of 301,529,473,948,355 is 589456204260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 529, 473, 948, 355?
Answer: LCM of 301, 529, 473, 948, 355 is 589456204260.
2. How to calculate the LCM of 301, 529, 473, 948, 355?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 301, 529, 473, 948, 355.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.